Question about Carry On

I am boarding my 2nd ever flight this weekend and this time it is with Southwest and wanted to be sure what I was reading and understanding correctly about the carry on.

You are allowed 2 carry on for free, one a carry on and a personal item. The trip is only going to be for a few days, so I was hoping to bring a small duffle bag with my needed things (clothing, misc daily things) and a backpack with a tablet and few other things). Would this combination qualify as long as they are within the dimension sizes (10 x 16 x 24 inches for carry on, 18.5 x 8.5 x 13.5 inch for personal item)?